=J (e)(b) Fe=()6. A pendulum that consists of a ball (m = 1.50 kg) attached to a light cord rotates in a circular path ofradius r = 0.800 m at constant speed v, as shown in Figure. Here the angle 0 = 65°, and we ignore airfriction and assume the mass of the light cord is negligible.(a) Calculate the tension T in the cord.= L.(b) Calculate the centripetal force acting on the ball.= 'd(c) Calculate the velocity v of this uniform circular motion.Answers:

Answered: Image /qna-images/answer/c3636640-f19d-438e-83f4-d7c209b1c4c1.jpg

Answered: =J (e) (b) Fe= () 6. A pendulum that…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 49P

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In Example 2.6, we considered a simple model for a rocket launched from the surface of the Earth. A better expression for the rockets position measured from the center of the Earth is given by y(t)=(R3/2+3g2Rt)2/3j where R is the radius of the Earth (6.38 106 m) and g is the constant acceleration of an object in free fall near the Earths surface (9.81 m/s2). a. Derive expressions for vy(t) and ay(t). b. Plot y(t), vy(t), and ay(t). (A spreadsheet program would be helpful.) c. When will the rocket be at y=4R? d. What are vy and ay when y=4R?
Show that when A+B=C then A2+B2+2ABcos , where is the angle between vectors A and B .
The H2S molecule contains two hydrogen atoms and one sulfur atom. The position vectors of the hydrogen atoms and the sulfur atom are rHI=(0.70, 1.01, 0.00), rí2=(0.70, -1.01, 0.00), rs=(0.00, 0.00, 0.00), respectively. Providing that the mass of hydrogen atom is 1 amu and the mass of sulfur atom is 32 amu. Find a. The angle between the two H-S bonds. b. The position vector of the centre of mass of the H2S molecule. c. The position vectors of the hydrogen atoms and the sulfur atom with respect to the centre of the mass of the molecule (pointing from the centre of the mass of the molecule to the hydrogen atoms and the sulfur atom).
A pulsar is a rapidly rotating neutron star that emits a radio beam the way a lighthouse emits a light beam. We receive a radio pulse for each rotation of the star. The period T of rotation is found by measuring the time between pulses. Suppose a pulsar has a period of rotation of T = 0.0379 s that is increasing at the rate of 3.61 x 10-6 s/y. (a) What is the pulsar's angular acceleration a? (b) If a is constant, how many years from now will the pulsar stop rotating? (c) Suppose the pulsar originated in a supernova explosion seen 777 years ago. Assuming constant a, find the initial T. (a) Number i Units (b) Number i Units (c) Number i Units
A conical pendulum consists of a ball (mass=3 kg) fixed on the end of a massless cord. The ball moves at a constant velocity of of v=3 m/s in uniform circular motion. The length of the cord is L=5 m. Find the angle a that the cord makes with respect to the the y-axis. g=9.8 m/s^2, r=radius of motion Eq 1: g tan(a)=v^2/r Eq 2: r=L sin(a) Substituting Eq 2 into Eq 1 gives g tan(a)=v^2/L sin(a), which becomes tan(a)sin(a)=v^2/gL or, sin^2(a)/cos(a)=v^2/gL How do I solve for angle a?
A conical pendulum consists of a mass of 0.5 kg attached at one end of a sting. The other end is fixed. As the mass moves in a circular path of radius 0.7 m, the string traces out the surface of a cone. What is the angle that the string makes with the ceiling?
A 2 kg mass is spun on a string in a horizontal circular path at a constant speed. Draw a FBD of the mass. If the radius of the path is 0.5 m and the period of revolution is 0.25 s, what is the speed of the mass? (Answer with 3 sig figs)
A pulley (in the form of a uniform disk) with mass Mp and radius Rp is attached to the ceiling in a uniform gravitational field g and rotates with no friction about its pivot. Mass M2 is larger than mass mı, and they are connected by a massless inextensible cord. T1, T2, and Ts are magnitudes of the tensions. What is the relationship between the ten- sion T and mi g? T3 R 1. T¡ m1 9 ANS = OPTION 4 NEED SOLUTION
A pulsar is a rapidly rotating neutron star that emits a radio beam the way a lighthouse emits a light beam. We receive a radio pulse for each rotation of the star. The period T of rotation is found by measuring the time between pulses. Suppose a pulsar has a period of rotation of T = 0.0718 s that is increasing at the rate of 5.96 x 10-8 s/y. (a) What is the pulsar's angular acceleration α? (b) If α is constant, how many years from now will the pulsar stop rotating? (c) Suppose the pulsar originated in a supernova explosion seen 1090 years ago. Assuming constant α, find the initial T.
A distant planet has a mass of 5.00 x 1023 kg and a radius of 6.00 x 106 m. Someone is standing on the surface of the planet and throws a rock straight up with initial speed of 7.0 m/s. What is the maximum hight reached by the rock above the point from where it was thrown?
A pulsar is a rapidly rotating neutron star that emits a radio beam the way a lighthouse emits a light beam. We receive a radio pulse for each rotation of the star. The period T of rotation is found by measuring the time between pulses. Suppose a pulsar has a period of rotation of T = 0.0985 s that is increasing at the rate of 7.64 x 10-8 s/y. (a) What is the pulsar's angular acceleration αα? (b) If αα is constant, how many years from now will the pulsar stop rotating? (c) Suppose the pulsar originated in a supernova explosion seen 987 years ago. Assuming constant αα, find the initial T.
A projectile of mass m is launched from the surface of the earth at an angle α with the vertical. If the initial speed of the projectile is v0 = √(GM / R) where M = 5.97 × 10^24 kg and R = 6371 km are the mass and radius of the earth. Determine the arc S or the distance reached by the projectile for an initial angle α = 19.7 radians. Give your result in kilometers. Ans: 251017,40

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